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Finding the Fourth Proportional to 10,891, 15,029.58 and 5,923

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Solution

The fourth proportional to 10,891, 15,029.58 and 5,923 is: 8,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891 : 15,029.58 = 5,923 : x
  2. Step 2: Convert to fraction form
    10,891/15,029.58 = 5,923/x
  3. Step 3: Cross multiply
    10,891x = 15,029.58 × 5,923
  4. Step 4: Simplify right side
    10,891x = 89,020,202.34
  5. Step 5: Solve for x
    x = 89,020,202.34/10,891
  6. Step 6: Final answer
    x = 8,173.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.